netlib/lapack/complex16/index

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Available SIMPLE and DIVIDE AND CONQUER DRIVER routines:
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• file: lapack/complex16/zgesv.f
  prec: doublecomplex
  for: Solves a general system of linear equations AX=B.
  gams: d2c1
• file: lapack/complex16/zgbsv.f
  prec: doublecomplex
  for: Solves a general banded system of linear equations AX=B.
  gams: d2c2
• file: lapack/complex16/zgtsv.f
  prec: doublecomplex
  for: Solves a general tridiagonal system of linear equations AX=B.
  gams: d2c2a
• file: lapack/complex16/zposv.f
  prec: doublecomplex
  for: Solves a Hermitian positive definite system of linear , equations AX=B.
  gams: d2d1b
• file: lapack/complex16/zppsv.f
  prec: doublecomplex
  for: Solves a Hermitian positive definite system of linear , equations AX=B, where A is in packed storage.
  gams: d2d1b
• file: lapack/complex16/zpbsv.f
  prec: doublecomplex
  for: Solves a Hermitian positive definite banded system , of linear equations AX=B.
  gams: d2d2
• file: lapack/complex16/zptsv.f
  prec: doublecomplex
  for: Solves a Hermitian positive definite tridiagonal system , of linear equations AX=B.
  gams: d2d2a
• file: lapack/complex16/zsysv.f
  prec: doublecomplex
  for: Solves a complex symmetric indefinite system of linear equations AX=B.
  gams: d2c1
• file: lapack/complex16/zhesv.f
  prec: doublecomplex
  for: Solves a complex Hermitian indefinite system of linear equations AX=B.
  gams: d2d1a
• file: lapack/complex16/zspsv.f
  prec: doublecomplex
  for: Solves a complex symmetric indefinite system of linear equations AX=B, , where A is held in packed storage.
  gams: d2c1
• file: lapack/complex16/zhpsv.f
  prec: doublecomplex
  for: Solves a complex Hermitian indefinite system of linear equations AX=B, , where A is held in packed storage.
  gams: d2d1a
• file: lapack/complex16/zgels.f
  prec: doublecomplex
  for: Computes the least squares solution to an over-determined system , of linear equations, A X=B or A**H X=B, or the minimum norm , solution of an under-determined system, where A is a general , rectangular matrix of full rank, using a QR or LQ factorization , of A.
  gams: d9a1
• file: lapack/complex16/zgelsd.f
  prec: doublecomplex
  for: Computes the least squares solution to an over-determined system , of linear equations, A X=B or A**H X=B, or the minimum norm , solution of an under-determined system, using a divide and conquer , method, where A is a general rectangular matrix of full rank, , using a QR or LQ factorization of A.
  gams: d9a1
• file: lapack/complex16/zgglse.f
  prec: doublecomplex
  for: Solves the LSE (Constrained Linear Least Squares Problem) using , the GRQ (Generalized RQ) factorization
  gams: d9b1
• file: lapack/complex16/zggglm.f
  prec: doublecomplex
  for: Solves the GLM (Generalized Linear Regression Model) using , the GQR (Generalized QR) factorization
• file: lapack/complex16/zheev.f
  prec: doublecomplex
  for: Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian matrix.
  gams: d4a3
• file: lapack/complex16/zheevd.f
  prec: doublecomplex
  for: Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian matrix. If eigenvectors are desired, it uses a divide , and conquer algorithm.
  gams: d4a3
• file: lapack/complex16/zheevr.f
  prec: doublecomplex
  for: Computes selected eigenvalues, and optionally, eigenvectors of a complex , Hermitian matrix. Eigenvalues are computed by the dqds , algorithm, and eigenvectors are computed from various "good" LDL^T , representations (also known as Relatively Robust Representations).
  gams: d4a1, d4a5
• file: lapack/complex16/zhpev.f
  prec: doublecomplex
  for: Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian matrix in packed storage.
  gams: d4a3
• file: lapack/complex16/zhpevd.f
  prec: doublecomplex
  for: Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian matrix in packed storage. If eigenvectors are desired, it , uses a divide and conquer algorithm.
  gams: d4a3
• file: lapack/complex16/zhbev.f
  prec: doublecomplex
  for: Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian band matrix.
  gams: d4a3, d4a6
• file: lapack/complex16/zhbevd.f
  prec: doublecomplex
  for: Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian band matrix. If eigenvectors are desired, it uses a divide , and conquer algorithm.
  gams: d4a3, d4a6
• file: lapack/complex16/zgees.f
  prec: doublecomplex
  for: Computes the eigenvalues and Schur factorization of a general , matrix, and orders the factorization so that selected eigenvalues , are at the top left of the Schur form.
  gams: d4a4
• file: lapack/complex16/zgeev.f
  prec: doublecomplex
  for: Computes the eigenvalues and left and right eigenvectors of , a general matrix.
  gams: d4a4
• file: lapack/complex16/zgesvd.f
  prec: doublecomplex
  for: Computes the singular value decomposition (SVD) of a general , rectangular matrix.
  gams: d6
• file: lapack/complex16/zgesdd.f
  prec: doublecomplex
  for: Computes the singular value decomposition (SVD) of a general , rectangular matrix using divide-and-conquer.
  gams: d6
• file: lapack/complex16/zhegv.f
  prec: doublecomplex
  for: Computes all eigenvalues and the eigenvectors of a generalized , Hermitian-definite generalized eigenproblem, , Ax= lambda Bx, ABx= lambda x, or BAx= lambda x.
  gams: d4b3
• file: lapack/complex16/zhegvd.f
  prec: doublecomplex
  for: Computes all eigenvalues and the eigenvectors of a generalized , Hermitian-definite generalized eigenproblem, , Ax= lambda Bx, ABx= lambda x, or BAx= lambda x. , If eigenvectors are desired, it uses a divide and conquer algorithm.
  gams: d4b3
• file: lapack/complex16/zhpgv.f
  prec: doublecomplex
  for: Computes all eigenvalues and eigenvectors of a generalized , Hermitian-definite generalized eigenproblem, Ax= lambda , Bx, ABx= lambda x, or BAx= lambda x, where A and B are in packed , storage.
  gams: d4b3
• file: lapack/complex16/zhpgvd.f
  prec: doublecomplex
  for: Computes all eigenvalues and eigenvectors of a generalized , Hermitian-definite generalized eigenproblem, Ax= lambda , Bx, ABx= lambda x, or BAx= lambda x, where A and B are in packed , storage. , If eigenvectors are desired, it uses a divide and conquer algorithm.
  gams: d4b3
• file: lapack/complex16/zhbgv.f
  prec: doublecomplex
  for: Computes all the eigenvalues, and optionally, the eigenvectors , of a complex generalized Hermitian-definite banded eigenproblem, of , the form A*x=(lambda)*B*x. A and B are assumed to be Hermitian , and banded, and B is also positive definite.
• file: lapack/complex16/zhbgvd.f
  prec: doublecomplex
  for: Computes all the eigenvalues, and optionally, the eigenvectors , of a complex generalized Hermitian-definite banded eigenproblem, of , the form A*x=(lambda)*B*x. A and B are assumed to be Hermitian , and banded, and B is also positive definite. , If eigenvectors are desired, it uses a divide and conquer algorithm.
• file: lapack/complex16/zgegs.f
  prec: doublecomplex
  for: Computes the generalized eigenvalues, Schur form, and left and/or , right Schur vectors for a pair of nonsymmetric matrices
• file: lapack/complex16/zgges.f
  prec: doublecomplex
  for: Computes the generalized eigenvalues, Schur form, and left and/or , right Schur vectors for a pair of nonsymmetric matrices
• file: lapack/complex16/zgegv.f
  prec: doublecomplex
  for: Computes the generalized eigenvalues, and left and/or right , generalized eigenvectors for a pair of nonsymmetric matrices
• file: lapack/complex16/zggev.f
  prec: doublecomplex
  for: Computes the generalized eigenvalues, and left and/or right , generalized eigenvectors for a pair of nonsymmetric matrices
• file: lapack/complex16/zggsvd.f
  prec: doublecomplex
  for: Computes the Generalized Singular Value Decomposition

  -----------------------------------------
  Available EXPERT and RRR DRIVER routines:
  -----------------------------------------
  

• file: lapack/complex16/zgesvx.f
  prec: doublecomplex
  for: Solves a general system of linear equations AX=B, A**T X=B , or A**H X=B, and provides an estimate of the condition number , and error bounds on the solution.
  gams: d2c1
• file: lapack/complex16/zgbsvx.f
  prec: doublecomplex
  for: Solves a general banded system of linear equations AX=B, , A**T X=B or A**H X=B, and provides an estimate of the condition , number and error bounds on the solution.
  gams: d2c2
• file: lapack/complex16/zgtsvx.f
  prec: doublecomplex
  for: Solves a general tridiagonal system of linear equations AX=B, , A**T X=B or A**H X=B, and provides an estimate of the condition , number and error bounds on the solution.
  gams: d2c2a
• file: lapack/complex16/zposvx.f
  prec: doublecomplex
  for: Solves a Hermitian positive definite system of linear , equations AX=B, and provides an estimate of the condition number , and error bounds on the solution.
  gams: d2d1b
• file: lapack/complex16/zppsvx.f
  prec: doublecomplex
  for: Solves a Hermitian positive definite system of linear , equations AX=B, where A is held in packed storage, and provides , an estimate of the condition number and error bounds on the , solution.
  gams: d2d1b
• file: lapack/complex16/zpbsvx.f
  prec: doublecomplex
  for: Solves a Hermitian positive definite banded system , of linear equations AX=B, and provides an estimate of the condition , number and error bounds on the solution.
  gams: d2d2
• file: lapack/complex16/zptsvx.f
  prec: doublecomplex
  for: Solves a Hermitian positive definite tridiagonal , system of linear equations AX=B, and provides an estimate of , the condition number and error bounds on the solution.
  gams: d2d2a
• file: lapack/complex16/zsysvx.f
  prec: doublecomplex
  for: Solves a complex symmetric , indefinite system of linear equations AX=B, and provides an , estimate of the condition number and error bounds on the solution.
  gams: d2c1
• file: lapack/complex16/zhesvx.f
  prec: doublecomplex
  for: Solves a complex Hermitian , indefinite system of linear equations AX=B, and provides an , estimate of the condition number and error bounds on the solution.
  gams: d2d1a
• file: lapack/complex16/zspsvx.f
  prec: doublecomplex
  for: Solves a complex symmetric , indefinite system of linear equations AX=B, where A is held , in packed storage, and provides an estimate of the condition , number and error bounds on the solution.
  gams: d2c1
• file: lapack/complex16/zhpsvx.f
  prec: doublecomplex
  for: Solves a complex Hermitian , indefinite system of linear equations AX=B, where A is held , in packed storage, and provides an estimate of the condition , number and error bounds on the solution.
  gams: d2d1a
• file: lapack/complex16/zgelsx.f
  prec: doublecomplex
  for: Computes the minimum norm least squares solution to an over- , or under-determined system of linear equations A X=B, using a , complete orthogonal factorization of A.
  gams: d9a1
• file: lapack/complex16/zgelsy.f
  prec: doublecomplex
  for: Computes the minimum norm least squares solution to an over- , or under-determined system of linear equations A X=B, using a , complete orthogonal factorization of A.
  gams: d9a1
• file: lapack/complex16/zgelss.f
  prec: doublecomplex
  for: Computes the minimum norm least squares solution to an over- , or under-determined system of linear equations A X=B, using , the singular value decomposition of A.
  gams: d9a1
• file: lapack/complex16/zheevx.f
  prec: doublecomplex
  for: Computes selected eigenvalues and eigenvectors of a Hermitian matrix.
  gams: d4a3
• file: lapack/complex16/zheevr.f
  prec: doublecomplex
  for: Computes selected eigenvalues, and optionally, eigenvectors of a complex , Hermitian matrix. Eigenvalues are computed by the dqds , algorithm, and eigenvectors are computed from various "good" LDL^T , representations (also known as Relatively Robust Representations).
  gams: d4a1, d4a5
• file: lapack/complex16/zhegvx.f
  prec: doublecomplex
  for: Computes selected eigenvalues, and optionally, the eigenvectors of , a generalized Hermitian-definite generalized eigenproblem, , Ax= lambda Bx, ABx= lambda x, or BAx= lambda x.
  gams: d4b3
• file: lapack/complex16/zhpevx.f
  prec: doublecomplex
  for: Computes selected eigenvalues and eigenvectors of a , Hermitian matrix in packed storage.
  gams: d4a3
• file: lapack/complex16/zhpgvx.f
  prec: doublecomplex
  for: Computes selected eigenvalues, and optionally, the eigenvectors of , a generalized Hermitian-definite generalized eigenproblem, Ax= lambda , Bx, ABx= lambda x, or BAx= lambda x, where A and B are in packed , storage.
  gams: d4b3
• file: lapack/complex16/zhbevx.f
  prec: doublecomplex
  for: Computes selected eigenvalues and eigenvectors of a , Hermitian band matrix.
  gams: d4a3, d4a6
• file: lapack/complex16/zhbgvx.f
  prec: doublecomplex
  for: Computes selected eigenvalues, and optionally, the eigenvectors , of a complex generalized Hermitian-definite banded eigenproblem, of , the form A*x=(lambda)*B*x. A and B are assumed to be Hermitian , and banded, and B is also positive definite.
• file: lapack/complex16/zgeesx.f
  prec: doublecomplex
  for: Computes the eigenvalues and Schur factorization of a general , matrix, orders the factorization so that selected eigenvalues , are at the top left of the Schur form, and computes reciprocal , condition numbers for the average of the selected eigenvalues, , and for the associated right invariant subspace.
  gams: d4a4
• file: lapack/complex16/zggesx.f
  prec: doublecomplex
  for: Computes the generalized eigenvalues, the real Schur form, and, , optionally, the left and/or right matrices of Schur vectors.
• file: lapack/complex16/zgeevx.f
  prec: doublecomplex
  for: Computes the eigenvalues and left and right eigenvectors of , a general matrix, with preliminary balancing of the matrix, , and computes reciprocal condition numbers for the eigenvalues , and right eigenvectors.
  gams: d4a4
• file: lapack/complex16/zggevx.f
  prec: doublecomplex
  for: Computes the generalized eigenvalues, and optionally, the left , and/or right generalized eigenvectors.

  ---------------------------------
  Available COMPUTATIONAL routines:
  ---------------------------------
  

• file: lapack/complex16/zbdsdc.f
  prec: doublecomplex
  for: Computes the singular value decomposition (SVD) of a real bidiagonal , matrix, using a divide and conquer method.
  gams: d6
• file: lapack/complex16/zbdsqr.f
  prec: doublecomplex
  for: Computes the singular value decomposition (SVD) of a real bidiagonal , matrix, using the bidiagonal QR algorithm.
  gams: d6
• file: lapack/complex16/zgbbrd.f
  prec: doublecomplex , Reduces a complex general band matrix to real upper bidiagonal form , by a unitary transformation.
• file: lapack/complex16/zgbcon.f
  prec: doublecomplex
  for: Estimates the reciprocal of the condition number of a general , band matrix, in either the 1-norm or the infinity-norm, using , the LU factorization computed by ZGBTRF.
  gams: d2c2
• file: lapack/complex16/zgbequ.f
  prec: doublecomplex
  for: Computes row and column scalings to equilibrate a general band , matrix and reduce its condition number.
  gams: d2c2
• file: lapack/complex16/zgbrfs.f
  prec: doublecomplex
  for: Improves the computed solution to a general banded system of , linear equations AX=B, A**T X=B or A**H X=B, and provides forward , and backward error bounds for the solution.
  gams: d2c2
• file: lapack/complex16/zgbtrf.f
  prec: doublecomplex
  for: Computes an LU factorization of a general band matrix, using , partial pivoting with row interchanges.
  gams: d2c2
• file: lapack/complex16/zgbtrs.f
  prec: doublecomplex
  for: Solves a general banded system of linear equations AX=B, , A**T X=B or A**H X=B, using the LU factorization computed , by ZGBTRF.
  gams: d2c2
• file: lapack/complex16/zgebak.f
  prec: doublecomplex
  for: Transforms eigenvectors of a balanced matrix to those of the , original matrix supplied to ZGEBAL.
  gams: d4c4
• file: lapack/complex16/zgebal.f
  prec: doublecomplex
  for: Balances a general matrix in order to improve the accuracy , of computed eigenvalues.
  gams: d4c1a
• file: lapack/complex16/zgebrd.f
  prec: doublecomplex
  for: Reduces a general rectangular matrix to real bidiagonal form , by an orthogonal/unitary transformation.
  gams: d6
• file: lapack/complex16/zgecon.f
  prec: doublecomplex
  for: Estimates the reciprocal of the condition number of a general , matrix, in either the 1-norm or the infinity-norm, using the , LU factorization computed by ZGETRF.
  gams: d2c1
• file: lapack/complex16/zgeequ.f
  prec: doublecomplex
  for: Computes row and column scalings to equilibrate a general , rectangular matrix and reduce its condition number.
  gams: d2c1
• file: lapack/complex16/zgehrd.f
  prec: doublecomplex
  for: Reduces a general matrix to upper Hessenberg form by an , unitary similarity transformation.
  gams: d4c1b2
• file: lapack/complex16/zgelqf.f
  prec: doublecomplex
  for: Computes an LQ factorization of a general rectangular matrix.
  gams: d5
• file: lapack/complex16/zgeqlf.f
  prec: doublecomplex
  for: Computes a QL factorization of a general rectangular matrix.
  gams: d5
• file: lapack/complex16/zgeqp3.f
  prec: doublecomplex
  for: Computes a QR factorization with column pivoting of a general , rectangular matrix using Level 3 BLAS.
  gams: d5
• file: lapack/complex16/zgeqpf.f
  prec: doublecomplex
  for: Computes a QR factorization with column pivoting of a general , rectangular matrix.
  gams: d5
• file: lapack/complex16/zgeqrf.f
  prec: doublecomplex
  for: Computes a QR factorization of a general rectangular matrix.
  gams: d5
• file: lapack/complex16/zgerfs.f
  prec: doublecomplex
  for: Improves the computed solution to a general system of linear , equations AX=B, A**T X=B or A**H X=B, and provides forward and , backward error bounds for the solution.
  gams: d2c1
• file: lapack/complex16/zgerqf.f
  prec: doublecomplex
  for: Computes an RQ factorization of a general rectangular matrix.
  gams: d5
• file: lapack/complex16/zgetrf.f
  prec: doublecomplex
  for: Computes an LU factorization of a general matrix, using partial , pivoting with row interchanges.
  gams: d2c1
• file: lapack/complex16/zgetri.f
  prec: doublecomplex
  for: Computes the inverse of a general matrix, using the LU factorization , computed by ZGETRF.
  gams: d2c1
• file: lapack/complex16/zgetrs.f
  prec: doublecomplex
  for: Solves a general system of linear equations AX=B, A**T X=B , or A**H X=B, using the LU factorization computed by ZGETRF.
  gams: d2c1
• file: lapack/complex16/zggbak.f
  prec: doublecomplex
  for: Forms the right or left eigenvectors of the generalized eigenvalue , problem by backward transformation on the computed eigenvectors of , the balanced pair of matrices output by ZGGBAL.
• file: lapack/complex16/zggbal.f
  prec: doublecomplex
  For: Balances a pair of general complex matrices for the generalized , eigenvalue problem A x = lambda B x.
• file: lapack/complex16/zgghrd.f
  prec: doublecomplex
  for: Reduces a pair of complex matrices to generalized upper , Hessenberg form using unitary similarity transformations.
• file: lapack/complex16/zggqrf.f
  prec: doublecomplex
  for: Computes a generalized QR factorization of a pair of matrices.
• file: lapack/complex16/zggrqf.f
  prec: doublecomplex
  for: Computes a generalized RQ factorization of a pair of matrices.
• file: lapack/complex16/zggsvp.f
  prec: doublecomplex
  for: Computes unitary matrices as a preprocessing step , for computing the generalized singular value decomposition
• file: lapack/complex16/zgtcon.f
  prec: doublecomplex
  for: Estimates the reciprocal of the condition number of a general , tridiagonal matrix, in either the 1-norm or the infinity-norm, , using the LU factorization computed by ZGTTRF.
  gams: d2c2a
• file: lapack/complex16/zgtrfs.f
  prec: doublecomplex
  for: Improves the computed solution to a general tridiagonal system , of linear equations AX=B, A**T X=B or A**H X=B, and provides , forward and backward error bounds for the solution.
  gams: d2c2a
• file: lapack/complex16/zgttrf.f
  prec: doublecomplex
  for: Computes an LU factorization of a general tridiagonal matrix, , using partial pivoting with row interchanges.
  gams: d2c2a
• file: lapack/complex16/zgttrs.f
  prec: doublecomplex
  for: Solves a general tridiagonal system of linear equations AX=B, , A**T X=B or A**H X=B, using the LU factorization computed by , ZGTTRF.
  gams: d2c2a
• file: lapack/complex16/zhgeqz.f
  prec: doublecomplex
  for: Implements a single-/double-shift version of the QZ method for , finding the generalized eigenvalues of the equation , det(A - w(i) B) = 0
• file: lapack/complex16/zhsein.f
  prec: doublecomplex
  for: Computes specified right and/or left eigenvectors of an upper , Hessenberg matrix by inverse iteration.
  gams: d4c3
• file: lapack/complex16/zhseqr.f
  prec: doublecomplex
  for: Computes the eigenvalues and Schur factorization of an upper , Hessenberg matrix, using the multishift QR algorithm.
  gams: d4c2b
• file: lapack/complex16/zupgtr.f
  prec: doublecomplex
  for: Generates the unitary transformation matrix from , a reduction to tridiagonal form determined by ZHPTRD.
  gams: d4c1b1
• file: lapack/complex16/zupmtr.f
  prec: doublecomplex
  for: Multiplies a general matrix by the unitary , transformation matrix from a reduction to tridiagonal form , determined by ZHPTRD.
  gams: d4c4
• file: lapack/complex16/zungbr.f
  prec: doublecomplex
  for: Generates the unitary transformation matrices from , a reduction to bidiagonal form determined by ZGEBRD.
  gams: d6
• file: lapack/complex16/zunghr.f
  prec: doublecomplex
  for: Generates the unitary transformation matrix from , a reduction to Hessenberg form determined by ZGEHRD.
  gams: d4c1b2
• file: lapack/complex16/zunglq.f
  prec: doublecomplex
  for: Generates all or part of the unitary matrix Q from , an LQ factorization determined by ZGELQF.
  gams: d5
• file: lapack/complex16/zungql.f
  prec: doublecomplex
  for: Generates all or part of the unitary matrix Q from , a QL factorization determined by ZGEQLF.
  gams: d5
• file: lapack/complex16/zungqr.f
  prec: doublecomplex
  for: Generates all or part of the unitary matrix Q from , a QR factorization determined by ZGEQRF.
  gams: d5
• file: lapack/complex16/zungrq.f
  prec: doublecomplex
  for: Generates all or part of the unitary matrix Q from , an RQ factorization determined by ZGERQF.
  gams: d5
• file: lapack/complex16/zungtr.f
  prec: doublecomplex
  for: Generates the unitary transformation matrix from , a reduction to tridiagonal form determined by ZHETRD.
  gams: d4c1b1
• file: lapack/complex16/zunmbr.f
  prec: doublecomplex
  for: Multiplies a general matrix by one of the unitary , transformation matrices from a reduction to bidiagonal form , determined by ZGEBRD.
  gams: d6
• file: lapack/complex16/zunmhr.f
  prec: doublecomplex
  for: Multiplies a general matrix by the unitary transformation , matrix from a reduction to Hessenberg form determined by ZGEHRD.
  gams: d4c4
• file: lapack/complex16/zunmlq.f
  prec: doublecomplex
  for: Multiplies a general matrix by the unitary matrix , from an LQ factorization determined by ZGELQF.
  gams: d5
• file: lapack/complex16/zunmql.f
  prec: doublecomplex
  for: Multiplies a general matrix by the unitary matrix , from a QL factorization determined by ZGEQLF.
  gams: d5
• file: lapack/complex16/zunmqr.f
  prec: doublecomplex
  for: Multiplies a general matrix by the unitary matrix , from a QR factorization determined by ZGEQRF.
  gams: d5
• file: lapack/complex16/zunmr3.f
  prec: doublecomplex
  for: Multiples a general matrix by the unitary matrix , from an RZ factorization determined by ZTZRZF.
• file: lapack/complex16/zunmrq.f
  prec: doublecomplex
  for: Multiplies a general matrix by the unitary matrix , from an RQ factorization determined by ZGERQF.
  gams: d5
• file: lapack/complex16/zunmrz.f
  prec: doublecomplex
  for: Multiples a general matrix by the unitary matrix , from an RZ factorization determined by ZTZRZF.
• file: lapack/complex16/zunmtr.f
  prec: doublecomplex
  for: Multiplies a general matrix by the unitary , transformation matrix from a reduction to tridiagonal form , determined by ZHETRD.
  gams: d4c4
• file: lapack/complex16/zpbcon.f
  prec: doublecomplex
  for: Estimates the reciprocal of the condition number of a , Hermitian positive definite band matrix, using the , Cholesky factorization computed by ZPBTRF.
  gams: d2d2
• file: lapack/complex16/zpbequ.f
  prec: doublecomplex
  for: Computes row and column scalings to equilibrate a Hermitian , positive definite band matrix and reduce its condition number.
  gams: d2d2
• file: lapack/complex16/zpbrfs.f
  prec: doublecomplex
  for: Improves the computed solution to a Hermitian positive , definite banded system of linear equations AX=B, and provides , forward and backward error bounds for the solution.
  gams: d2d2
• file: lapack/complex16/zpbstf.f
  prec: doublecomplex
  for: Computes a split Cholesky factorization of a complex Hermitian , positive definite band matrix.
• file: lapack/complex16/zpbtrf.f
  prec: doublecomplex
  for: Computes the Cholesky factorization of a Hermitian , positive definite band matrix.
  gams: d2d2
• file: lapack/complex16/zpbtrs.f
  prec: doublecomplex
  for: Solves a Hermitian positive definite banded system , of linear equations AX=B, using the Cholesky factorization , computed by ZPBTRF.
  gams: d2d2
• file: lapack/complex16/zpocon.f
  prec: doublecomplex
  for: Estimates the reciprocal of the condition number of a , Hermitian positive definite matrix, using the , Cholesky factorization computed by ZPOTRF.
  gams: d2d1b
• file: lapack/complex16/zpoequ.f
  prec: doublecomplex
  for: Computes row and column scalings to equilibrate a Hermitian , positive definite matrix and reduce its condition number.
  gams: d2d1b
• file: lapack/complex16/zporfs.f
  prec: doublecomplex
  for: Improves the computed solution to a Hermitian positive , definite system of linear equations AX=B, and provides forward , and backward error bounds for the solution.
  gams: d2d1b
• file: lapack/complex16/zpotrf.f
  prec: doublecomplex
  for: Computes the Cholesky factorization of a Hermitian , positive definite matrix.
  gams: d2d1b
• file: lapack/complex16/zpotri.f
  prec: doublecomplex
  for: Computes the inverse of a Hermitian positive definite , matrix, using the Cholesky factorization computed by ZPOTRF.
  gams: d2d1b
• file: lapack/complex16/zpotrs.f
  prec: doublecomplex
  for: Solves a Hermitian positive definite system of linear , equations AX=B, using the Cholesky factorization computed by , ZPOTRF.
  gams: d2d1b
• file: lapack/complex16/zppcon.f
  prec: doublecomplex
  for: Estimates the reciprocal of the condition number of a , Hermitian positive definite matrix in packed storage, , using the Cholesky factorization computed by ZPPTRF.
  gams: d2d1b
• file: lapack/complex16/zppequ.f
  prec: doublecomplex
  for: Computes row and column scalings to equilibrate a Hermitian , positive definite matrix in packed storage and reduce its condition , number.
  gams: d2d1b
• file: lapack/complex16/zpprfs.f
  prec: doublecomplex
  for: Improves the computed solution to a Hermitian positive , definite system of linear equations AX=B, where A is held in , packed storage, and provides forward and backward error bounds , for the solution.
  gams: d2d1b
• file: lapack/complex16/zpptrf.f
  prec: doublecomplex
  for: Computes the Cholesky factorization of a Hermitian , positive definite matrix in packed storage.
  gams: d2d1b
• file: lapack/complex16/zpptri.f
  prec: doublecomplex
  for: Computes the inverse of a Hermitian positive definite , matrix in packed storage, using the Cholesky factorization computed , by ZPPTRF.
  gams: d2d1b
• file: lapack/complex16/zpptrs.f
  prec: doublecomplex
  for: Solves a Hermitian positive definite system of linear , equations AX=B, where A is held in packed storage, using the , Cholesky factorization computed by ZPPTRF.
  gams: d2d1b
• file: lapack/complex16/zptcon.f
  prec: doublecomplex
  for: Computes the reciprocal of the condition number of a , Hermitian positive definite tridiagonal matrix, , using the LDL**H factorization computed by ZPTTRF.
  gams: d2d2a
• file: lapack/complex16/zpteqr.f
  prec: doublecomplex
  for: Computes all eigenvalues and eigenvectors of a complex symmetric , positive definite tridiagonal matrix, by computing the SVD of , its bidiagonal Cholesky factor.
  gams: d4c2a
• file: lapack/complex16/zptrfs.f
  prec: doublecomplex
  for: Improves the computed solution to a Hermitian positive , definite tridiagonal system of linear equations AX=B, and provides , forward and backward error bounds for the solution.
  gams: d2d2a
• file: lapack/complex16/zpttrf.f
  prec: doublecomplex
  for: Computes the LDL**H factorization of a Hermitian , positive definite tridiagonal matrix.
  gams: d2d2a
• file: lapack/complex16/zpttrs.f
  prec: doublecomplex
  for: Solves a Hermitian positive definite tridiagonal , system of linear equations, using the LDL**H factorization , computed by ZPTTRF.
  gams: d2d2a
• file: lapack/complex16/zhbgst.f
  prec: doublecomplex
  for: Reduces a complex Hermitian-definite banded generalized eigenproblem , A x = lambda B x to standard form, where B has been factorized by , ZPBSTF (Crawford's algorithm).
• file: lapack/complex16/zhbtrd.f
  prec: doublecomplex
  for: Reduces a Hermitian band matrix to real symmetric , tridiagonal form by a unitary similarity transformation.
  gams: d4c1b1
• file: lapack/complex16/zspcon.f
  prec: doublecomplex
  for: Estimates the reciprocal of the condition number of a , complex symmetric indefinite , matrix in packed storage, using the factorization computed , by ZSPTRF.
  gams: d2c1
• file: lapack/complex16/zhpcon.f
  prec: doublecomplex
  for: Estimates the reciprocal of the condition number of a , complex Hermitian indefinite , matrix in packed storage, using the factorization computed , by ZHPTRF.
  gams: d2d1a
• file: lapack/complex16/zhpgst.f
  prec: doublecomplex
  for: Reduces a Hermitian-definite generalized eigenproblem , Ax= lambda Bx, ABx= lambda x, or BAx= lambda x, to standard , form, where A and B are held in packed storage, and B has been , factorized by ZPPTRF.
  gams: d4c1c
• file: lapack/complex16/zsprfs.f
  prec: doublecomplex
  for: Improves the computed solution to a complex , symmetric indefinite system of linear equations , AX=B, where A is held in packed storage, and provides forward , and backward error bounds for the solution.
  gams: d2c1
• file: lapack/complex16/zhprfs.f
  prec: doublecomplex
  for: Improves the computed solution to a complex , Hermitian indefinite system of linear equations , AX=B, where A is held in packed storage, and provides forward , and backward error bounds for the solution.
  gams: d2d1a
• file: lapack/complex16/zhptrd.f
  prec: doublecomplex
  for: Reduces a Hermitian matrix in packed storage to real , symmetric tridiagonal form by a unitary similarity , transformation.
  gams: d4c1b1
• file: lapack/complex16/zsptrf.f
  prec: doublecomplex
  for: Computes the factorization of a complex , symmetric-indefinite matrix in packed storage, , using the diagonal pivoting method.
  gams: d2c1
• file: lapack/complex16/zhptrf.f
  prec: doublecomplex
  for: Computes the factorization of a complex , Hermitian-indefinite matrix in packed storage, , using the diagonal pivoting method.
  gams: d2d1a
• file: lapack/complex16/zsptri.f
  prec: doublecomplex
  for: Computes the inverse of a complex symmetric , indefinite matrix in packed storage, using the factorization , computed by ZSPTRF.
  gams: d2c1
• file: lapack/complex16/zhptri.f
  prec: doublecomplex
  for: Computes the inverse of a complex , Hermitian indefinite matrix in packed storage, using the factorization , computed by ZHPTRF.
  gams: d2d1a
• file: lapack/complex16/zsptrs.f
  prec: doublecomplex
  for: Solves a complex symmetric , indefinite system of linear equations AX=B, where A is held , in packed storage, using the factorization computed , by ZSPTRF.
  gams: d2c1
• file: lapack/complex16/zhptrs.f
  prec: doublecomplex
  for: Solves a complex Hermitian , indefinite system of linear equations AX=B, where A is held , in packed storage, using the factorization computed , by ZHPTRF.
  gams: d2d1a
• file: lapack/complex16/zstedc.f
  prec: doublecomplex
  for: Computes all eigenvalues and, optionally, eigenvectors of a , symmetric tridiagonal matrix using the divide and conquer algorithm.
• file: lapack/complex16/zstegr.f
  prec: doublecomplex
  for: Computes selected eigenvalues and, optionally, eigenvectors of a , symmetric tridiagonal matrix. The eigenvalues are computed by the , dqds algorithm, while eigenvectors are computed from various "good" , LDL^T representations (also known as Relatively Robust Representations.)
• file: lapack/complex16/zstein.f
  prec: doublecomplex
  for: Computes selected eigenvectors of a real symmetric tridiagonal , matrix by inverse iteration.
  gams: d4c3
• file: lapack/complex16/zsteqr.f
  prec: doublecomplex
  for: Computes all eigenvalues and eigenvectors of a real symmetric , tridiagonal matrix, using the implicit QL or QR algorithm.
  gams: d4a1, d4a5, d4c2a
• file: lapack/complex16/zsycon.f
  prec: doublecomplex
  for: Estimates the reciprocal of the condition number of a , complex symmetric indefinite matrix, , using the factorization computed by ZSYTRF.
  gams: d2c1
• file: lapack/complex16/zhecon.f
  prec: doublecomplex
  for: Estimates the reciprocal of the condition number of a , complex Hermitian indefinite matrix, , using the factorization computed by ZHETRF.
  gams: d2d1a
• file: lapack/complex16/zhegst.f
  prec: doublecomplex
  for: Reduces a Hermitian-definite generalized eigenproblem , Ax= lambda Bx, ABx= lambda x, or BAx= lambda x, to standard , form, where B has been factorized by ZPOTRF.
  gams: d4c1c
• file: lapack/complex16/zsyrfs.f
  prec: doublecomplex
  for: Improves the computed solution to a complex , symmetric indefinite system of linear equations , AX=B, and provides forward and backward error bounds for the , solution.
  gams: d2c1
• file: lapack/complex16/zherfs.f
  prec: doublecomplex
  for: Improves the computed solution to a complex , Hermitian indefinite system of linear equations , AX=B, and provides forward and backward error bounds for the , solution.
  gams: d2d1a
• file: lapack/complex16/zhetrd.f
  prec: doublecomplex
  for: Reduces a Hermitian matrix to real symmetric tridiagonal , form by an orthogonal/unitary similarity transformation.
  gams: d4c1b1
• file: lapack/complex16/zsytrf.f
  prec: doublecomplex
  for: Computes the factorization of a complex symmetric-indefinite matrix, , using the diagonal pivoting method.
  gams: d2c1
• file: lapack/complex16/zhetrf.f
  prec: doublecomplex
  for: Computes the factorization of a complex Hermitian-indefinite matrix, , using the diagonal pivoting method.
  gams: d2d1a
• file: lapack/complex16/zsytri.f
  prec: doublecomplex
  for: Computes the inverse of a complex symmetric indefinite matrix, , using the factorization computed by ZSYTRF.
  gams: d2c1
• file: lapack/complex16/zhetri.f
  prec: doublecomplex
  for: Computes the inverse of a complex Hermitian indefinite matrix, , using the factorization computed by ZHETRF.
  gams: d2d1a
• file: lapack/complex16/zsytrs.f
  prec: doublecomplex
  for: Solves a complex symmetric indefinite system of linear equations AX=B, , using the factorization computed by ZSPTRF.
  gams: d2c1
• file: lapack/complex16/zhetrs.f
  prec: doublecomplex
  for: Solves a complex Hermitian indefinite system of linear equations AX=B, , using the factorization computed by ZHPTRF.
  gams: d2d1a
• file: lapack/complex16/ztbcon.f
  prec: doublecomplex
  for: Estimates the reciprocal of the condition number of a triangular , band matrix, in either the 1-norm or the infinity-norm.
  gams: d2c2, d2c3
• file: lapack/complex16/ztbrfs.f
  prec: doublecomplex
  for: Provides forward and backward error bounds for the solution , of a triangular banded system of linear equations AX=B, , A**T X=B or A**H X=B.
  gams: d2c2, d2c3
• file: lapack/complex16/ztbtrs.f
  prec: doublecomplex
  for: Solves a triangular banded system of linear equations AX=B, , A**T X=B or A**H X=B.
  gams: d2c2, d2c3
• file: lapack/complex16/ztgevc.f
  prec: doublecomplex
  for: Computes some or all of the right and/or left generalized eigenvectors , of a pair of complex upper triangular matrices.
  gams: d4b4
• file: lapack/complex16/ztgexc.f
  prec: doublecomplex
  for: Reorders the generalized Schur decomposition of a complex , matrix pair (A,B) using a unitary equivalence transformation , so that the diagonal block of (A,B) with row index IFST is moved , to row ILST.
• file: lapack/complex16/ztgsen.f
  prec: doublecomplex
  for: Reorders the generalized Schur decomposition of a complex , matrix pair (A, B) so that a selected cluster of eigenvalues , appears in the leading diagonal blocks of the pair (A,B).
• file: lapack/complex16/ztgsja.f
  prec: doublecomplex
  for: Computes the generalized singular value decomposition of two complex , upper triangular (or trapezoidal) matrices as output by ZGGSVP.
  gams: d6
• file: lapack/complex16/ztgsna.f
  prec: doublecomplex
  for: Estimates reciprocal condition numbers for specified , eigenvalues and/or eigenvectors of a matrix pair (A, B) in , generalized Schur canonical form, as returned by ZGGES.
• file: lapack/complex16/ztgsyl.f
  prec: doublecomplex
  for: Solves the generalized Sylvester equation.
• file: lapack/complex16/ztpcon.f
  prec: doublecomplex
  for: Estimates the reciprocal of the condition number of a triangular , matrix in packed storage, in either the 1-norm or the infinity-norm.
  gams: d2c3
• file: lapack/complex16/ztprfs.f
  prec: doublecomplex
  for: Provides forward and backward error bounds for the solution , of a triangular system of linear equations AX=B, A**T X=B or , A**H X=B, where A is held in packed storage.
  gams: d2c3
• file: lapack/complex16/ztptri.f
  prec: doublecomplex
  for: Computes the inverse of a triangular matrix in packed storage.
  gams: d2c3
• file: lapack/complex16/ztptrs.f
  prec: doublecomplex
  for: Solves a triangular system of linear equations AX=B, , A**T X=B or A**H X=B, where A is held in packed storage.
  gams: d2c3
• file: lapack/complex16/ztrcon.f
  prec: doublecomplex
  for: Estimates the reciprocal of the condition number of a triangular , matrix, in either the 1-norm or the infinity-norm.
  gams: d2c3
• file: lapack/complex16/ztrevc.f
  prec: doublecomplex
  for: Computes left and right eigenvectors of an complex upper triangular , matrix.
  gams: d4c3
• file: lapack/complex16/ztrexc.f
  prec: doublecomplex
  for: Reorders the Schur factorization of a matrix by a unitary , similarity transformation.
  gams: d4c
• file: lapack/complex16/ztrrfs.f
  prec: doublecomplex
  for: Provides forward and backward error bounds for the solution , of a triangular system of linear equations A X=B, A**T X=B or , A**H X=B.
  gams: d2c3
• file: lapack/complex16/ztrsen.f
  prec: doublecomplex
  for: Reorders the Schur factorization of a matrix in order to find , an orthonormal basis of a right invariant subspace corresponding , to selected eigenvalues, and returns reciprocal condition numbers , (sensitivities) of the average of the cluster of eigenvalues , and of the invariant subspace.
  gams: d4c
• file: lapack/complex16/ztrsna.f
  prec: doublecomplex
  for: Estimates the reciprocal condition numbers (sensitivities) , of selected eigenvalues and eigenvectors of a complex upper , triangular matrix.
  gams: d4c
• file: lapack/complex16/ztrsyl.f
  prec: doublecomplex
  for: Solves the Sylvester matrix equation A X +/- X B=C where A , and B are complex upper triangular, and may be transposed.
  gams: d8
• file: lapack/complex16/ztrtri.f
  prec: doublecomplex
  for: Computes the inverse of a triangular matrix.
  gams: d2c3
• file: lapack/complex16/ztrtrs.f
  prec: doublecomplex
  for: Solves a triangular system of linear equations AX=B, , A**T X=B or A**H X=B.
  gams: d2c3
• file: lapack/complex16/ztzrqf.f
  prec: doublecomplex
  for: Computes an RQ factorization of an upper trapezoidal matrix.
  gams: d5
• file: lapack/complex16/ztzrzf.f
  prec: doublecomplex
  for: Computes an RZ factorization of an upper trapezoidal matrix , (blocked version of ZTZRQF).

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Eric and Jack